Complex Generalized Stancu-Schurer Operators

Çetin N., Mutlu N. M.

Mathematica Slovaca, vol.74, no.5, pp.1215-1232, 2024 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 74 Issue: 5
  • Publication Date: 2024
  • Doi Number: 10.1515/ms-2024-0088
  • Journal Name: Mathematica Slovaca
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.1215-1232
  • Keywords: complex Bernstein-Schurer operator, Complex Stancu operator, equivalence, exact order of approximation, simultaneous approximation
  • Ankara Haci Bayram Veli University Affiliated: Yes

Abstract

In the present study, we determine a Schurer type of complex generalized Stancu operators and examine its some approximation properties. Firstly, we obtain upper quantitative estimates for the convergence and then we get lower estimates from a qualitative Voronovskaja-type result for these specified operators attached to the analytic functions in an open disk centered at the origin. Hence, we present the exact order of simultaneous approximation by using obtained upper and lower estimates.